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199040040 = 23325599371
BaseRepresentation
bin10111101110100…
…01110000101000
3111212112021121100
423313101300220
5401423240130
631430041400
74634545443
oct1367216050
9455467540
10199040040
11a2397801
12567a9260
133230c394
141c61265a
1512719c60
hexbdd1c28

199040040 has 96 divisors (see below), whose sum is σ = 657914400. Its totient is φ = 52172160.

The previous prime is 199040033. The next prime is 199040053. The reversal of 199040040 is 40040991.

199040040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 199039986 and 199040013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16555 + ... + 25925.

It is an arithmetic number, because the mean of its divisors is an integer number (6853275).

Almost surely, 2199040040 is an apocalyptic number.

199040040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199040040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328957200).

199040040 is an abundant number, since it is smaller than the sum of its proper divisors (458874360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

199040040 is a wasteful number, since it uses less digits than its factorization.

199040040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9447 (or 9440 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 199040040 is about 14108.1550884586. The cubic root of 199040040 is about 583.8663999763.

The spelling of 199040040 in words is "one hundred ninety-nine million, forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 59 60 72 90 118 120 177 180 236 295 354 360 472 531 590 708 885 1062 1180 1416 1770 2124 2360 2655 3540 4248 5310 7080 9371 10620 18742 21240 28113 37484 46855 56226 74968 84339 93710 112452 140565 168678 187420 224904 281130 337356 374840 421695 552889 562260 674712 843390 1105778 1124520 1658667 1686780 2211556 2764445 3317334 3373560 4423112 4976001 5528890 6634668 8293335 9952002 11057780 13269336 16586670 19904004 22115560 24880005 33173340 39808008 49760010 66346680 99520020 199040040